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Finding the Fourth Proportional to 34,510.26, 47,623.74 and 19,405.46

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Solution

The fourth proportional to 34,510.26, 47,623.74 and 19,405.46 is: 26,779.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,510.26 : 47,623.74 = 19,405.46 : x
  2. Step 2: Convert to fraction form
    34,510.26/47,623.74 = 19,405.46/x
  3. Step 3: Cross multiply
    34,510.26x = 47,623.74 × 19,405.46
  4. Step 4: Simplify right side
    34,510.26x = 924,160,581.62
  5. Step 5: Solve for x
    x = 924,160,581.62/34,510.26
  6. Step 6: Final answer
    x = 26,779.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.